Hierarchical Material Design for Multi-Material Fabrication

According to some aspects, a method of designing a three-dimensional object based on a shape of the object, the object to be fabricated via additive fabrication from a plurality of materials, is provided. The method comprises selecting, for a first volume element of the object, one of the plurality of materials based at least in part on a position of the first volume element within the object, at least one spatial decomposition of the object, the at least one spatial decomposition identifying a plurality of volumetric subregions of the object, and a material composition of at least a first volumetric subregion of the plurality of volumetric subregions, wherein the first volumetric subregion comprises the position of the first volume element.